A Stern-type congruence for the Schroder numbers

被引：4

作者：

Cao, Hui-Qin ^{[1
]}

Pan, Hao ^{[2
]}

机构：

[1] Nanjing Audit Univ, Dept Appl Math, Nanjing 211815, Jiangsu, Peoples R China

[2] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

来源：

DISCRETE MATHEMATICS | 2017年 / 340卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Congruence; Schroder number; MOTZKIN NUMBERS; MODULO POWERS; CATALAN;

D O I：

10.1016/j.disc.2016.11.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Schroder number S, counts the number of the lattice paths from (0, 0) to (n, n), containing no point above the line y = x and using only steps (1, 0), (0, 1) and (1, 1). We prove that Sn+2 alpha+1 equivalent to S-n + 2(alpha+1) (mod 2(alpha+2)), where n >= 1 and alpha >= 1. (C) 2016 Published by Elsevier B.V.

引用

页码：708 / 712

页数：5

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